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Venn Diagram Worksheet

Logical reasoning lesson 22: Venn diagrams · Set 671 · 40 questions
TalentJR

How to think it through (Middle first): Put “both” in the overlap. Only A = A − both; only B = B − both; at least one = A + B − both. Neither = total − at least one; exactly one = only A + only B.

NameDateTime takenScore ___ / 40
  1. 1.In a group of 45 children, 17 play cricket, 30 play football and 10 play both. How many play only football?
  2. 2.In a group of 24 grown-ups, 18 drink tea, 10 drink coffee and 7 drink both. How many drink exactly one of the two?
  3. 3.In a group of 45 children, 29 play chess, 24 play carrom and 12 play both. How many play only carrom?
  4. 4.In a group of 48 children, 21 sing Hindi songs, 24 sing English songs and 11 sing both. How many sing only English songs?
  5. 5.In a group of 34 children, 24 play chess, 12 play carrom and 5 play both. How many play only chess?
  6. 6.In a group of 33 grown-ups, 14 drink tea, 14 drink coffee and 8 drink both. How many drink exactly one of the two?
  7. 7.In a group of 54 children, 24 play cricket, 23 play football and 6 play both. How many play neither of the two?
  8. 8.In a group of 47 children, 27 play chess, 25 play carrom and 9 play both. How many play exactly one of the two?
  9. 9.In a group of 36 children, 24 enjoy drawing, 18 enjoy dancing and 12 enjoy both. How many enjoy only dancing?
  10. 10.In a group of 39 children, 19 like mangoes, 26 like bananas and 9 like both. How many like exactly one of the two?
  11. 11.In a group of 32 grown-ups, 13 drink tea, 12 drink coffee and 4 drink both. How many drink neither of the two?
  12. 12.In a group of 25 children, 18 play cricket, 10 play football and 6 play both. How many play exactly one of the two?
  13. 13.In a group of 14 children, 9 like mangoes, 8 like bananas and 5 like both. How many like only mangoes?
  14. 14.In a group of 17 children, 10 sing Hindi songs, 7 sing English songs and 4 sing both. How many sing at least one of the two?
  15. 15.In a group of 38 children, 17 play cricket, 24 play football and 9 play both. How many play neither of the two?
  16. 16.In a group of 36 children, 15 like mangoes, 9 like bananas and 3 like both. How many like only bananas?
  17. 17.In a group of 27 children, 14 like mangoes, 22 like bananas and 10 like both. How many like exactly one of the two?
  18. 18.In a group of 33 grown-ups, 14 drink tea, 16 drink coffee and 11 drink both. How many drink at least one of the two?
  19. 19.In a group of 44 children, 17 play cricket, 25 play football and 12 play both. How many play only cricket?
  20. 20.In a group of 35 children, 13 sing Hindi songs, 16 sing English songs and 9 sing both. How many sing only English songs?
  21. 21.In a group of 42 children, 20 play cricket, 29 play football and 10 play both. How many play exactly one of the two?
  22. 22.In a group of 30 children, 16 like mangoes, 22 like bananas and 9 like both. How many like neither of the two?
  23. 23.In a group of 52 children, 28 play chess, 27 play carrom and 8 play both. How many play only chess?
  24. 24.In a group of 48 children, 22 play chess, 22 play carrom and 10 play both. How many play at least one of the two?
  25. 25.In a group of 32 children, 19 sing Hindi songs, 20 sing English songs and 12 sing both. How many sing exactly one of the two?
  26. 26.In a group of 38 children, 20 play cricket, 7 play football and 4 play both. How many play only football?
  27. 27.In a group of 35 children, 18 sing Hindi songs, 21 sing English songs and 11 sing both. How many sing exactly one of the two?
  28. 28.In a group of 39 children, 19 sing Hindi songs, 30 sing English songs and 12 sing both. How many sing at least one of the two?
  29. 29.In a group of 17 grown-ups, 9 drink tea, 7 drink coffee and 2 drink both. How many drink exactly one of the two?
  30. 30.In a group of 32 grown-ups, 11 drink tea, 19 drink coffee and 6 drink both. How many drink exactly one of the two?
  31. 31.In a group of 40 children, 22 enjoy drawing, 20 enjoy dancing and 5 enjoy both. How many enjoy neither of the two?
  32. 32.In a group of 47 children, 27 enjoy drawing, 13 enjoy dancing and 8 enjoy both. How many enjoy only drawing?
  33. 33.In a group of 39 grown-ups, 16 drink tea, 19 drink coffee and 10 drink both. How many drink only tea?
  34. 34.In a group of 34 children, 20 sing Hindi songs, 18 sing English songs and 7 sing both. How many sing exactly one of the two?
  35. 35.In a group of 41 children, 27 play chess, 22 play carrom and 10 play both. How many play neither of the two?
  36. 36.In a group of 26 grown-ups, 9 drink tea, 19 drink coffee and 4 drink both. How many drink at least one of the two?
  37. 37.In a group of 30 children, 20 enjoy drawing, 6 enjoy dancing and 3 enjoy both. How many enjoy only drawing?
  38. 38.In a group of 38 children, 14 sing Hindi songs, 20 sing English songs and 6 sing both. How many sing at least one of the two?
  39. 39.In a group of 51 grown-ups, 22 drink tea, 26 drink coffee and 6 drink both. How many drink only coffee?
  40. 40.In a group of 45 children, 27 play chess, 15 play carrom and 11 play both. How many play only carrom?

Answer key

  1. 20
  2. 14
  3. 12
  4. 13
  5. 19
  6. 12
  7. 13
  8. 34
  9. 6
  10. 27
  11. 11
  12. 16
  13. 4
  14. 13
  15. 6
  16. 6
  17. 16
  18. 19
  19. 5
  20. 7
  21. 29
  22. 1
  23. 20
  24. 34
  25. 15
  26. 3
  27. 17
  28. 37
  29. 12
  30. 18
  31. 3
  32. 19
  33. 6
  34. 24
  35. 2
  36. 24
  37. 17
  38. 28
  39. 20
  40. 4

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